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Figure shows a straight wire of length a...

Figure shows a straight wire of length a carrying a current `I`. What is the magnitude of magnetic field induction produced by the current at P, which is lying at a perpendicular distance a from one end of the wire.

Text Solution

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Refer to figure, the magnetic field induction at P due to current through wire AB is
`B=(mu_0)/(4pi)I/a[sinphi_1+sinphi_2]`
Here, `phi_1=45^@` and `phi_2=0^@`, so
`B=(mu_0)/(4pi)I/a[sin45^@+sin0^@]`
`=(mu_0)/(4pi)I/axx1/sqrt2=(sqrt2mu_0I)/(8pia)`
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